Fixed point theorems for weak contractions in the sense of Berinde on partial metric spaces

DOI10.1016/j.topol.2012.04.004zbMath1262.54015OpenAlexW2078321953MaRDI QIDQ428791

Ishak Altun, Özlem Acar

Publication date: 25 June 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2012.04.004

zbMATH Keywords

fixed pointmetric spacepartial metric space\((\delta,L)\) contraction

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (27)

Fixed point theorems for contracting mappings in partial metric spaces ⋮ On the existence of fixed points that belong to the zero set of a certain function ⋮ Generalized Geraghty type mappings on partial metric spaces and fixed point results ⋮ Fixed point theory in partial metric spaces via \(\varphi\)-fixed point's concept in metric spaces ⋮ Fixed point theorems under Hardy-Rogers contractive conditions on 0-complete ordered partial metric spaces ⋮ A fixed point result for mappings on the \(\ell_\infty\)-sum of a closed and convex set based on the degree of nondensifiability ⋮ Berinde-type generalized contractions on partial metric spaces ⋮ Fixed point theorems for Ćirić-type strong almost contractions on partial metric spaces ⋮ Coincidence and fixed point results for generalized weak contractions in the sense of Berinde on partial metric spaces ⋮ On coupled common fixed points for mixed weakly monotone maps in partially ordered S-metric spaces ⋮ Common fixed point of mappings satisfying almost generalized \((S,T)\)-contractive condition in partially ordered partial metric spaces ⋮ Multivalued fixed point results in cone metric spaces ⋮ Fixed point results via \(G\)-function over the complete partial \(b\)-metric space ⋮ Weak condition for generalized f-weakly Picard mappings on partial metric spaces ⋮ A fixed point theorem for new type contractions on weak partial metric spaces ⋮ Some coupled fixed point theorems in quasi-partial metric spaces ⋮ Some coupled coincidence and common fixed point results for a hybrid pair of mappings in 0-complete partial metric spaces ⋮ Unnamed Item ⋮ Common fixed point results for four mappings on partial metric spaces ⋮ Some common tripled fixed point results in two quasi-partial metric spaces ⋮ Some coupled fixed-point theorems in two quasi-partial metric spaces ⋮ Fixed point theorems for generalized almost contractions in partial metric spaces ⋮ A comparative study on iterative algorithms of almost contractions in the context of convergence, stability and data dependency ⋮ ON COMMON FIXED POINTS THEOREMS FOR ORDERED $F$-CONTRACTIONS WITH APPLICATION ⋮ Some fixed point results on rectangular metric-like spaces endowed with a graph ⋮ Generalized cyclic contractions and coincidence points involving a control function on partial metric spaces ⋮ A generalization of the (b,𝜃)-enriched contractions based on the degree of nondensifiability

Cites Work

• Some new extensions of Banach's contraction principle to partial metric space
• Common fixed points of noncommuting discontinuous weakly contractive mappings in cone metric spaces
• Corrigendum to ``Generalized contractions on partial metric spaces [Topology Appl. 157 (2010) 2778-2785]
• Fixed points for \((\psi , \varphi )\)-weak contractions
• Generalized contractions on partial metric spaces
• Weak condition for generalized multi-valued \((f,\alpha ,\beta )\)-weak contraction mappings
• Common fixed points of almost generalized contractive mappings in ordered metric spaces
• Fixed point theorems for operators on partial metric spaces
• Common fixed point for generalized \((\psi ,\varphi )\)-weak contractions
• Iterative approximation of fixed points
• A Kirk type characterization of completeness for partial metric spaces
• Some new results and generalizations in metric fixed point theory
• Approximation of metric spaces by partial metric spaces
• PCF extended with real numbers
• Some theorems on weakly contractive maps.
• Berinde mappings in orbitally complete metric spaces
• On Banach fixed point theorems for partial metric spaces
• Fixed Point Theorems for Mappings with a Contractive Iterate at a Point
• Partial Metric Topology
• On common fixed points of weakly compatible mappings satisfying ‘generalized condition (B)’
• On Nonlinear Contractions
• A Generalization of a Fixed Point Theorem of Reich
• Fixed point theorems in metric spaces
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